The Flying Scot is a nice daysailer, but if you want a cuddy, then you might want to look at :
West Wight Potter (WWP) 17 or 19,
Venture 17 or larger Venture 21 or the salty Venture 23,
If you can find one a Matilda 19 or 21 is very good value.
All of the above are decent sailors, trailerable, with a cabin that will accomodate your cooler, lunch supplies and a porta-potty. Trust me, sailing with your family is a lot more fun when there is a solution available before the problem arises.